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If x > 1, what is the value of x? [#permalink]
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02 Jun 2011, 18:35
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If x > 1, what is the value of x? (1) There are x unique factors of x. (2) The sum of x and any prime number larger than x is odd. i) is understood
ii) The sum of x and any prime number larger than x is odd.
i.e if x > 1 then x has to be atleast 2 (the only prime number that is also even)
E + or  O = ODD
So only 2 will fulfill this criteria. If we take any prime number greater than 2 then O + or  O = Even.
So the answer should be each statement alone is sufficient.
Please clarify. OPEN DISCUSSION OF THIS QUESTION IS HERE: ifx1whatisthevalueofintegerx110661.html
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Re: If x > 1, what is the value of x? [#permalink]
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02 Jun 2011, 19:03
melguy wrote: If x > 1, what is the value of x?
i) There are x unique factors of x. ii) The sum of x and any prime number larger than x is odd.
i) is understood
ii) The sum of x and any prime number larger than x is odd.
i.e if x > 1 then x has to be atleast 2 (the only prime number that is also even)
E + or  O = ODD
So only 2 will fulfill this criteria. If we take any prime number greater than 2 then O + or  O = Even.
So the answer should be each statement alone is sufficient.
Please clarify. St2: x is not necessarily prime. x is definitely even. 4+7=11(odd); x=4, Prime Number greater than x(4) is 7; 7+4=odd 6+7=13(odd); x=6, Prime Number greater than x(6) is 7; 6+7=odd Not Sufficient.
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Re: If x > 1, what is the value of x? [#permalink]
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02 Jun 2011, 19:06
St2: x is not necessarily prime.x is definitely even. 4+7=11(odd); x=4, Prime Number greater than x(4) is 7; 7+4=odd 6+7=13(odd); x=6, Prime Number greater than x(6) is 7; 6+7=odd Not Sufficient.[/quote] duh! Thanks for pointing out the mistake! I am just too tired and burnt out exam in 24 days



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Re: If x > 1, what is the value of x? [#permalink]
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02 Jun 2011, 20:42
So as per statement, is x=2?



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Re: If x > 1, what is the value of x? [#permalink]
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03 Jun 2011, 01:59
agdimple333 wrote: So as per statement, is x=2? Yes, as the statement1.
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Re: If x > 1, what is the value of x? [#permalink]
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03 Jun 2011, 17:47
1. Sufficient
as 2 is >1 and has 2 unique factors 1 and 2.
every other x >1 does not have x unique factors.
2. Not sufficient
x + prime greater than 1 is odd
as x >1
x ( x + odd = odd => x must be even) 2 + 3 is odd 4 + 5 is odd
Answer is A.



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Re: If x > 1, what is the value of x? [#permalink]
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19 Jun 2016, 02:40
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Re: If x > 1, what is the value of x? [#permalink]
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19 Jun 2016, 09:47
If x>1, what is the value of integer x?(1) There are x unique factors of x > x to have x distinct positive factors it must be divisible by EVERY integer from 1 to x, inclusive but x can not be divisible by x1 unless x=2, for example 3 is not divisible by 2, 4 is not divisible by 3, etc, but 2 is divisible by 1 (other value of x which has x distinct positive factors (1) is excluded by the stem as x>1). So this statement implies that x=2. Sufficient. (2) The sum of x and any prime number larger than x is odd > x+prime=odd, now as x itself is more than 1 then prime more than x cannot be 2 thus it's odd and we have x+odd prime=odd > x=even, so x could be ANY even number. Not sufficient. Answer: A. OPEN DISCUSSION OF THIS QUESTION IS HERE: ifx1whatisthevalueofintegerx110661.html
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Re: If x > 1, what is the value of x?
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